8th Grade Laws of Exponents Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the 8th Grade exponents & scientific notation worksheet.

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8th Grade Laws of Exponents Worksheet — Level 1 — Answers

Use the laws of exponents. Write answers with positive exponents.

1.Simplify: x⁹ ÷ x⁴

Answer: x⁵

Subtract the exponents: 9 − 4 = 5

2.Simplify: x¹¹ ÷ x²

Answer: x⁹

Subtract the exponents: 11 − 2 = 9

3.Simplify: x¹² ÷ x⁴

Answer: x⁸

Subtract the exponents: 12 − 4 = 8

4.Simplify: x⁶ × x²

Answer: x⁸

Add the exponents: 6 + 2 = 8

5.Simplify: x¹³ ÷ x⁴

Answer: x⁹

Subtract the exponents: 13 − 4 = 9

6.Simplify: x⁴ × x²

Answer: x⁶

Add the exponents: 4 + 2 = 6

7.Simplify: x⁹ × x⁵

Answer: x¹⁴

Add the exponents: 9 + 5 = 14

8.Simplify: x⁵ × x²

Answer: x⁷

Add the exponents: 5 + 2 = 7

9.Simplify: x⁸ ÷ x⁷

Answer: x¹

Subtract the exponents: 8 − 7 = 1

10.Simplify: x⁴ × x⁸

Answer: x¹²

Add the exponents: 4 + 8 = 12

11.Simplify: x¹³ ÷ x⁷

Answer: x⁶

Subtract the exponents: 13 − 7 = 6

12.Simplify: x¹² ÷ x³

Answer: x⁹

Subtract the exponents: 12 − 3 = 9

13.Simplify: x² × x⁶

Answer: x⁸

Add the exponents: 2 + 6 = 8

14.Simplify: x⁵ × x⁵

Answer: x¹⁰

Add the exponents: 5 + 5 = 10

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